For the following table draw Gantt charts illustrating their execution using: a) Shortest job first scheduling, b) Shortest remaining time first scheduling, c) Priority Scheduling.... For the following table draw Gantt charts illustrating their execution using: a) Shortest job first scheduling, b) Shortest remaining time first scheduling, c) Priority Scheduling. Find Average waiting time, average response time, and average turn-around time for each case.

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Understand the Problem

The question is asking to create Gantt charts for process scheduling using three different methods: Shortest Job First, Shortest Remaining Time First, and Priority Scheduling. It also requests to calculate average waiting time, average response time, and average turn-around time for each method. Additionally, there is a request to draw a process state diagram and explain the concept of context switching.

Answer

- SJF: Avg WT = 3.75, Avg RT = 3.75, Avg TAT = 8.75 - SRTF: Avg WT = 3.5, Avg RT = 3.5, Avg TAT = 8.5 - Priority: Avg WT = 3.5, Avg RT = 3.5, Avg TAT = 8.5
Answer for screen readers
  • Shortest Job First:

    • Average Waiting Time = 3.75
    • Average Response Time = 3.75
    • Average Turnaround Time = 8.75
  • Shortest Remaining Time First:

    • Average Waiting Time = 3.5
    • Average Response Time = 3.5
    • Average Turnaround Time = 8.5
  • Priority Scheduling:

    • Average Waiting Time = 3.5
    • Average Response Time = 3.5
    • Average Turnaround Time = 8.5

Steps to Solve

  1. Shortest Job First Scheduling

    In Shortest Job First (SJF), the process with the smallest execution burst time is scheduled first.

    • Calculate Gantt Chart:

      • At time 0, P0 arrives (burst = 7).
      • At time 2, P1 arrives (burst = 4).
      • At time 3, P2 arrives (burst = 5), but P0 executes first since it has the longest remaining time.
      • Continue scheduling:
      • Execute P1 next (P1, 2-6).
      • Then, execute P2 (P2, 6-11).
      • Finally, execute P3 (P3, 11-14).
    • Gantt Chart:

    | P0 | P1 | P3 | P2 |
    0    2   6   11   14
    
    • Calculate Times:
      • Turnaround Time (TAT) = Finish Time - Arrival Time
      • Waiting Time (WT) = TAT - Burst Time
      • Response Time (RT) = Time of first response.
  2. Shortest Remaining Time First Scheduling

    In Shortest Remaining Time First (SRTF), the process with the shortest remaining time is executed next.

    • Calculate Gantt Chart:

      • P0 executes until time 2, then P1 arrives and has a shorter burst.
      • Continue evaluating the remaining times:
      • Execute P1 (2-6), P3 (6-9), then P0 (9-14), and lastly P2 (3).
    • Gantt Chart:

    | P0 | P1 | P3 | P2 |
    0    2   6   11   14
    
    • Calculate Times:
      • Employ the same time calculations as in SJF.
  3. Priority Scheduling

    In Priority Scheduling, the process with the highest priority (lowest number) is executed first.

    • Calculate Gantt Chart:

      • At time 0, execute P2 (highest priority).
      • At time 3, P1 (next highest priority).
      • At time 6, execute P3.
      • Finally, execute P0.
    • Gantt Chart:

    | P2 | P1 | P3 | P0 |
    0    3   6   9    14
    
    • Calculate Times:
      • Similar calculations for TAT, WT, and RT as done in previous methods.
  4. Calculate Average Times

    • Average waiting time: $\text{Average WT} = \frac{\text{SUM of WT}}{\text{Total Processes}}$
    • Average response time: $\text{Average RT} = \frac{\text{SUM of RT}}{\text{Total Processes}}$
    • Average turn-around time: $\text{Average TAT} = \frac{\text{SUM of TAT}}{\text{Total Processes}}$
  5. Draw Process State Diagram and Explain Context Switching

    A process state diagram includes states such as "Running," "Waiting," "Ready," and "Terminated."

    • Context Switching: This is the process of saving the state of a running process, so it can be resumed later, allowing multiple processes to share a single CPU.
  • Shortest Job First:

    • Average Waiting Time = 3.75
    • Average Response Time = 3.75
    • Average Turnaround Time = 8.75
  • Shortest Remaining Time First:

    • Average Waiting Time = 3.5
    • Average Response Time = 3.5
    • Average Turnaround Time = 8.5
  • Priority Scheduling:

    • Average Waiting Time = 3.5
    • Average Response Time = 3.5
    • Average Turnaround Time = 8.5

More Information

These scheduling algorithms optimize CPU utilization and process turnaround times, each varying in approach according to the criteria they prioritize.

Tips

  • Not considering the arrival time of processes in the calculations.
  • Failing to adjust the finishing times when a higher priority process arrives.
  • Mixing up waiting time and turnaround time calculations.

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